{"id":3436,"date":"2025-06-03T08:46:40","date_gmt":"2025-06-03T05:46:40","guid":{"rendered":"https:\/\/fti.dp.ua\/conf\/?p=3436"},"modified":"2025-09-23T08:49:49","modified_gmt":"2025-09-23T05:49:49","slug":"cims-289","status":"publish","type":"post","link":"https:\/\/fti.dp.ua\/conf\/2025\/cims-289\/","title":{"rendered":"Optimization Problem of the Launch Vehicle Pitch Angle during Spacecraft Insertion into Circular Orbits"},"content":{"rendered":"\n

Optimization Problem of the Launch Vehicle Pitch Angle during Spacecraft Insertion into Circular Orbits<\/h1>\n\n\n\n
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Ruslan Keba<\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/h5>\n\n\n\n

ORCID: https:\/\/orcid.org\/0009-0007-9490-1254<\/a><\/em><\/p>\n\n\n\n

Oles Honchar Dnipro National University<\/em><\/p>\n<\/div><\/div>\n\n\n\n

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Anatolii Kulabukhov<\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/h5>\n\n\n\n

ORCID: https:\/\/orcid.org\/0000-0003-1139-4829<\/a><\/em><\/p>\n\n\n\n

Oles Honchar Dnipro National University<\/em><\/p>\n<\/div><\/div>\n\n\n\n

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Purpose<\/strong>. The aim of the study is to formulate and analytically pose the task of constructing the pitch program of a launch vehicle, ensuring the insertion of a spacecraft into a circular orbit, considering constraints on the motion parameters and requirements for the final state.\u00a0Design \/ Method \/ Approach<\/strong>. An analytical model for the pitch program is proposed, consisting of five phases: vertical ascent, angular acceleration, constant angular velocity motion, deceleration, and a final fixed-angle phase. Dimensionless coefficients are introduced to characterize the relative durations of active angular maneuver phases.\u00a0Findings<\/strong>. Analytical expressions were derived for the pitch angle, angular velocity, and acceleration for each control phase, ensuring continuity and physical realizability. Expressions for the resulting orbital altitude and control effort provide a basis for multi-criteria optimization.\u00a0Theoretical Implications<\/strong>. The developed formalization enables analytical optimization of the pitch program without a full vehicle motion model, aiding understanding of the link between control structure and orbital injection conditions.\u00a0Practical Implications<\/strong>. The proposed model can be used in preliminary design stages for initial synthesis of the launch vehicle pitch program, enabling rapid assessment of trajectory controllability and compliance with specified orbital parameters, avoiding full-scale simulation.\u00a0Originality \/ Value<\/strong>. Unlike approaches based on full numerical integration, this study presents a simplified, analytically manageable pitch program model, allowing efficient optimization considering physical constraints and final conditions.\u00a0Research Limitations \/ Future Research<\/strong>. Limitations involve the simplified analytical model with fixed control phases. Future work involves numerical optimization (using gradient-based, heuristic, or global methods) to precisely determine optimal pitch program parameters.\u00a0Article Type<\/strong>. Methodological paper.<\/p>\n\n\n\n

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ACCESS ARTICLE<\/a><\/div>\n<\/div>\n\n\n\n
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CIMS 2025 The Awakening of Nature<\/a><\/div>\n\n
Control Systems, Telecommunications and Navigation<\/a><\/div><\/div>\n\n\n\n
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Optimization Problem of the Launch Vehicle Pitch Angle during Spacecraft Insertion into Circular Orbits Ruslan Keba ORCID: https:\/\/orcid.org\/0009-0007-9490-1254 Oles Honchar Dnipro National University Anatolii Kulabukhov ORCID: https:\/\/orcid.org\/0000-0003-1139-4829 Oles Honchar Dnipro National University Purpose. The aim of the study is to formulate and analytically pose the task of constructing the pitch program of a launch vehicle, ensuring the insertion of a spacecraft into a circular orbit, considering constraints on the motion parameters and requirements for the final state.\u00a0Design \/ Method \/ … <\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[34],"tags":[39],"class_list":["post-3436","post","type-post","status-publish","format-standard","hentry","category-electronics-2","tag-cims-2025-the-awakening-of-nature"],"_links":{"self":[{"href":"https:\/\/fti.dp.ua\/conf\/wp-json\/wp\/v2\/posts\/3436","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/fti.dp.ua\/conf\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/fti.dp.ua\/conf\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/fti.dp.ua\/conf\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/fti.dp.ua\/conf\/wp-json\/wp\/v2\/comments?post=3436"}],"version-history":[{"count":1,"href":"https:\/\/fti.dp.ua\/conf\/wp-json\/wp\/v2\/posts\/3436\/revisions"}],"predecessor-version":[{"id":3437,"href":"https:\/\/fti.dp.ua\/conf\/wp-json\/wp\/v2\/posts\/3436\/revisions\/3437"}],"wp:attachment":[{"href":"https:\/\/fti.dp.ua\/conf\/wp-json\/wp\/v2\/media?parent=3436"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/fti.dp.ua\/conf\/wp-json\/wp\/v2\/categories?post=3436"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/fti.dp.ua\/conf\/wp-json\/wp\/v2\/tags?post=3436"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}